| Full text | |
| Author(s): |
Ryu, Sieye
Total Authors: 1
|
| Document type: | Journal article |
| Source: | Ergodic Theory and Dynamical Systems; v. N/A, p. 35-pg., 2022-09-26. |
| Abstract | |
A D-infinity-topological Markov chain is a topological Markov chain provided with an action of the infinite dihedral group D-infinity. It is defined by two zero-one square matrices A and J satisfying AJ = JA(T) and J(2) = I. A flip signature is obtained from symmetric bilinear forms with respect to J on the eventual kernel of A. We modify Williams' decomposition theorem to prove the flip signature is a D-infinity-conjugacy invariant. We introduce natural D-infinity-actions on Ashley's eight-by-eight and the full two-shift. The flip signatures show that Ashley's eight-by-eight and the full two-shift equipped with the natural D-infinity-actions are not D-infinity-conjugate. We also discuss the notion of D-infinity-shift equivalence and the Lind zeta function. (AU) | |
| FAPESP's process: | 18/12482-3 - 1. K-theory and group actions on shift dynamical systems 2. Classification of shift spaces of finite types possessing the infinite dihedral groups |
| Grantee: | Sieye Ryu |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |